Identification of the heat transfer coefficient during cooling process by means of Trefftz method

In the article, the Trefftz method, belonging to the analytical-numerical methods, was used to identify the heat transfer coefficient for Inconel during spray cooling at the part of boundary. A mathematical model of the process has been formulated using cylindrical coordinate. The heat transfer coefficient is identified based of the Robin condition at the cooled boundary. Trefftz functions for heat conduction equation in cylindrical dimensionless coordinates has been used to find an approximate solution of the problem. As the internal temperature responses the real data from measurements has been used. The result of calculation is similar to the obtained by the other method.